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Which of the following is equal to log_10(0.01)? (2019)

Practice Questions

Q1
Which of the following is equal to log_10(0.01)? (2019)
  1. -1
  2. -2
  3. 2
  4. 1

Questions & Step-by-Step Solutions

Which of the following is equal to log_10(0.01)? (2019)
  • Step 1: Understand that log_10(x) means 'to what power must 10 be raised to get x'.
  • Step 2: Identify the value we are taking the logarithm of, which is 0.01.
  • Step 3: Rewrite 0.01 as a power of 10. We know that 0.01 is the same as 10 raised to the power of -2 (because 10^-2 = 1/10^2 = 1/100 = 0.01).
  • Step 4: Substitute this back into the logarithm: log_10(0.01) becomes log_10(10^-2).
  • Step 5: Use the property of logarithms that states log_b(b^x) = x. Here, b is 10 and x is -2.
  • Step 6: Therefore, log_10(10^-2) equals -2.
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